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Finding the Third Proportional to 148,007.25 and 163,032.75

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Solution

The third proportional to 148,007.25 and 163,032.75 is: 179,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,007.25 : 163,032.75 = 163,032.75 : x
  2. Step 2: Convert to fraction form
    148,007.25/163,032.75 = 163,032.75/x
  3. Step 3: Cross multiply
    148,007.25x = 163,032.75 × 163,032.75
  4. Step 4: Simplify right side
    148,007.25x = 26,579,677,572.56
  5. Step 5: Solve for x
    x = 26,579,677,572.56/148,007.25
  6. Step 6: Final answer
    x = 179,583.62

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.